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+/* statistics/wmean_source.c
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Jim Davies, Brian Gough
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at
+ * your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+double
+FUNCTION (gsl_stats, wmean) (const BASE w[], const size_t wstride, const BASE data[], const size_t stride, const size_t size)
+{
+ /* Compute the weighted arithmetic mean M of a dataset using the
+ recurrence relation
+
+ M(n) = M(n-1) + (data[n] - M(n-1)) (w(n)/(W(n-1) + w(n)))
+ W(n) = W(n-1) + w(n)
+
+ */
+
+ long double wmean = 0;
+ long double W = 0;
+
+ size_t i;
+
+ for (i = 0; i < size; i++)
+ {
+ BASE wi = w[i * wstride];
+
+ if (wi > 0)
+ {
+ W += wi;
+ wmean += (data[i * stride] - wmean) * (wi / W);
+ }
+ }
+
+ return wmean;
+}